2217768000 has 448 divisors, whose sum is σ = 8591751168. Its totient is φ = 493516800.

The previous prime is 2217767983. The next prime is 2217768029. The reversal of 2217768000 is 8677122.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7223847 + ... + 7224153.

It is an arithmetic number, because the mean of its divisors is an integer number (19178016).

Almost surely, 2^2217768000 is an apocalyptic number.

2217768000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2217768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295875584).

2217768000 is an abundant number, since it is smaller than the sum of its proper divisors (6373983168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2217768000 is a wasteful number, since it uses less digits than its factorization.

2217768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 2217768000 is about 47093.1842202245. The cubic root of 2217768000 is about 1304.0834126827.

The spelling of 2217768000 in words is "two billion, two hundred seventeen million, seven hundred sixty-eight thousand".